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Understanding planetary interiors is directly linked to our ability ofsimulating exotic quantum mechanical systems such as hydrogen (H) andhydrogen-helium (H-He) mixtures at high pressures and temperatures. Equationsof State (EOSs) tables based on Density Functional Theory (DFT), are commonlyused by planetary scientists, although this method allows only for aqualitative description of the phase diagram, due to an incomplete treatment ofelectronic interactions. Here we report Quantum Monte Carlo (QMC) moleculardynamics simulations of pure H and H-He mixture. We calculate the first QMC EOSat 6000 K for an H-He mixture of a proto-solar composition, and show thecrucial influence of He on the H metallization pressure. Our results can beused to calibrate other EOS calculations and are very timely given the accuratedetermination of Jupiter's gravitational field from the NASA Juno mission andthe effort to determine its structure.

Phase diagram of hydrogen and a hydrogen-helium mixture at planetary conditions by Quantum Monte Carlo simulations